Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Gutzwiller wave function | Statement: [Gutzwiller approximation, basedOn, Gutzwiller wave function]

Target entity: Gutzwiller wave function
Context triple: [Gutzwiller approximation, basedOn, Gutzwiller wave function]

• A. Gutzwiller approximation
  The Gutzwiller approximation is a variational method in condensed matter physics used to study strongly correlated electron systems, particularly metal–insulator (Mott) transitions in lattice models like the Hubbard model.
• B. Gutzwiller trace formula
  The Gutzwiller trace formula is a semiclassical tool in quantum chaos that links the quantum energy spectrum of a system to the properties of its classical periodic orbits.
• C. Brillouin–Wigner perturbation theory
  Brillouin–Wigner perturbation theory is a formulation of quantum mechanical perturbation theory that uses an energy-dependent effective Hamiltonian to obtain improved approximations to eigenvalues and eigenstates.
• D. Gutzwiller
  Gutzwiller is a German surname most notably associated with physicist Martin Gutzwiller, known for his contributions to quantum chaos and solid-state physics.
• E. Jordan–Wigner transformation
  The Jordan–Wigner transformation is a mathematical mapping in quantum many-body physics that converts spin operators into fermionic creation and annihilation operators, enabling the study of spin systems using fermionic methods.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Gutzwiller wave function
Target entity description: The Gutzwiller wave function is a variational many-body quantum state used to model strongly correlated electron systems by selectively suppressing configurations with multiple electrons on the same site.

• A. Gutzwiller approximation chosen
  The Gutzwiller approximation is a variational method in condensed matter physics used to study strongly correlated electron systems, particularly metal–insulator (Mott) transitions in lattice models like the Hubbard model.
• B. Gutzwiller trace formula
  The Gutzwiller trace formula is a semiclassical tool in quantum chaos that links the quantum energy spectrum of a system to the properties of its classical periodic orbits.
• C. Brillouin–Wigner perturbation theory
  Brillouin–Wigner perturbation theory is a formulation of quantum mechanical perturbation theory that uses an energy-dependent effective Hamiltonian to obtain improved approximations to eigenvalues and eigenstates.
• D. Gutzwiller
  Gutzwiller is a German surname most notably associated with physicist Martin Gutzwiller, known for his contributions to quantum chaos and solid-state physics.
• E. Jordan–Wigner transformation
  The Jordan–Wigner transformation is a mathematical mapping in quantum many-body physics that converts spin operators into fermionic creation and annihilation operators, enabling the study of spin systems using fermionic methods.
• F. None of above.